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Finding the Third Proportional to 484,634 and 1,132,025

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Solution

The third proportional to 484,634 and 1,132,025 is: 2,644,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,634 : 1,132,025 = 1,132,025 : x
  2. Step 2: Convert to fraction form
    484,634/1,132,025 = 1,132,025/x
  3. Step 3: Cross multiply
    484,634x = 1,132,025 × 1,132,025
  4. Step 4: Simplify right side
    484,634x = 1,281,480,600,625
  5. Step 5: Solve for x
    x = 1,281,480,600,625/484,634
  6. Step 6: Final answer
    x = 2,644,223.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.